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Finding the Fourth Proportional to 549.35, 759.07 and 432.25

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Solution

The fourth proportional to 549.35, 759.07 and 432.25 is: 597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.35 : 759.07 = 432.25 : x
  2. Step 2: Convert to fraction form
    549.35/759.07 = 432.25/x
  3. Step 3: Cross multiply
    549.35x = 759.07 × 432.25
  4. Step 4: Simplify right side
    549.35x = 328,108.49
  5. Step 5: Solve for x
    x = 328,108.49/549.35
  6. Step 6: Final answer
    x = 597.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.